Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880br |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2262760937226240 = 221 · 3 · 5 · 114 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3219783720,70322579406960] |
[a1,a2,a3,a4,a6] |
Generators |
[1288467722301514:58401192145401014:33792250337] |
Generators of the group modulo torsion |
j |
901247067798311192691198986281/552431869440 |
j-invariant |
L |
6.5552701267971 |
L(r)(E,1)/r! |
Ω |
0.13376725590653 |
Real period |
R |
24.502521496643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t7 |
Quadratic twists by: -4 |